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gyrate rhombicosidodecahedron : ウィキペディア英語版 | gyrate rhombicosidodecahedron
In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (''J''72). == Related polyhedron ==
It can be constructed as a rhombicosidodecahedron with one pentagonal cupola rotated through 36 degrees. They have the same faces around each vertex, but vertex configurations along the rotation become a different order, ''3.4.4.5''. Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: the parabigyrate rhombicosidodecahedron (J73) where two opposing cupolae are rotated, the metabigyrate rhombicosidodecahedron (J74) where two non-opposing cupolae are rotated and the trigyrate rhombicosidodecahedron (J75) where three cupolae are rotated.
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